Answer:
Simplifying the radical expression
we get
![\mathbf{7√(15)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/skffir6bx4pk15v6rumgqhu54y6vdoy82k.png)
Write your answer as a number a*sqrt(b)
![\mathbf{7√(15)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/skffir6bx4pk15v6rumgqhu54y6vdoy82k.png)
What is the sum of a and b?
We can't find the sum of a and b.
Explanation:
We need to simplify completely the radical expression
![√(735)](https://img.qammunity.org/2021/formulas/mathematics/high-school/swb5ldjkrgdu295n0dhpryx7u4r7xf7gnj.png)
First we need to find prime factors of 735
Prime factors of 735 are: 3x5x7x7
Solving:
![√(735)\\=√(3* 5 * 7 * 7) \\=√(3* 5 * 7^2)\\=√(7^2)√(3* 15)\\=7√(15)](https://img.qammunity.org/2021/formulas/mathematics/high-school/dkdo0rrvu5bydoa1owxp4i61ltz208ors1.png)
So, simplifying the radical expression
we get
![\mathbf{7√(15)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/skffir6bx4pk15v6rumgqhu54y6vdoy82k.png)
Write your answer as a number a*sqrt(b)
![\mathbf{7√(15)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/skffir6bx4pk15v6rumgqhu54y6vdoy82k.png)
What is the sum of a and b?
We can't find the sum of a and b.